Chapter 14, Problem 15P

Research results indicate that 5-year-old children who watched a lot of educational programming such as Sesame Street and Mr. Rogers had higher high-school grades than their peers (Anderson, Huston, Wright, & Collins, 1998). The same study reported that 5-year-old children who watched a lot of non-educational TV programs had relatively low high-school grades compared to their peers. A researcher attempting to replicate this result using an independent-measures study with four separate groups of high school students obtained the following data. The dependent variable is a rating of high school academic performance, with higher scores indicating higher levels of performance.

a. Use a two-factor ANOVA with to evaluate the main effects and interaction. $\alpha =.01$

b. Calculate the effect size $({\eta }^2)$ for the main effects and the interaction.

c. Briefly describe the outcome of the study.

Little Watching

Substantial

Watching

Education TV 1

   $M=3$

   $SS=10$6

   $M=5$

   $SS=4$

Non-educational TV5

   $M=3$

   $SS=16$0

   $M=1$

   $SS=6$
   $N=20$
   $G=60$
   ${\displaystyle \sum X^2}=256$